You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 374 randomly selected caterpillars observed, 47 lived to become butterflies. Round answers to 4 decimal places where possible. a.  With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between_______  and _______. b.  If many groups of 374 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About_______  percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about _______ percent will not contain the true population proportion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 374 randomly selected caterpillars observed, 47 lived to become butterflies. Round answers to 4 decimal places where possible.

a.  With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between_______  and _______.

b.  If many groups of 374 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About_______  percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about _______ percent will not contain the true population proportion.

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